The Bass conjecture, in algebraic geometry, states that certain algebraic K-groups are finitely generated. It was proposed by the mathematician Hyman Bass.
Facts
StatementFor any finitely generated Z algebra A, the groups K prime n of A are finitely generated. 1 Progress Toward ResolutionDaniel Quillen showed that the Bass conjecture holds for all regular rings or schemes of dimension at most 1. 1 Classification
Resolution Status Prize Status
Prize Status (category) Connections
In Branch
Source Bass Conjecture, Wikipedia
Sources
1. Bass Conjecture, Wikipedia
Statement of the conjecture section
For any finitely generated Z-algebra A, the groups K'n(A) are finitely generated
Known cases section
Daniel Quillen showed that the Bass conjecture holds for all (regular, depending on the version of the conjecture) rings or schemes of dimension <= 1
- Lead section
In Branch: Algebraic Geometry, Lead sentence
In mathematics, especially algebraic geometry, the Bass conjecture says that certain algebraic K-groups are supposed to be finitel
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